2020
Approximate Counting of Minimal Unsatisfiable Subsets
BENDÍK, Jaroslav a Kuldeep S. MEELZákladní údaje
Originální název
Approximate Counting of Minimal Unsatisfiable Subsets
Autoři
BENDÍK, Jaroslav (203 Česká republika, garant, domácí) a Kuldeep S. MEEL (356 Indie)
Vydání
Neuveden, Computer Aided Verification - 32nd International Conference, CAV 2020, od s. 439-462, 24 s. 2020
Nakladatel
Springer, Cham
Další údaje
Jazyk
angličtina
Typ výsledku
Stať ve sborníku
Obor
10200 1.2 Computer and information sciences
Utajení
není předmětem státního či obchodního tajemství
Forma vydání
tištěná verze "print"
Impakt faktor
Impact factor: 0.402 v roce 2005
Kód RIV
RIV/00216224:14330/20:00115568
Organizační jednotka
Fakulta informatiky
ISBN
978-3-030-53287-1
ISSN
UT WoS
000695276000021
Klíčová slova anglicky
minimal unsatisfiable subsets;MUS counting;diagnosis;metrics;knowledge base
Příznaky
Mezinárodní význam, Recenzováno
Změněno: 16. 5. 2022 14:21, Mgr. Michal Petr
Anotace
V originále
Given an unsatisfiable formula F in CNF, i.e. a set of clauses, the problem of Minimal Unsatisfiable Subset (MUS) seeks to identify the minimal subset of clauses N subset F such that N is unsatisfiable. The emerging viewpoint of MUSes as the root causes of unsatisfiability has led MUSes to find applications in a wide variety of diagnostic approaches. Recent advances in finding and enumeration of MUSes have motivated researchers to discover applications that can benefit from rich information about the set of MUSes. One such extension is that of counting the number of MUSes, which has shown to describe the inconsistency metrics for general propositional knowledge bases. The current best approach for MUS counting is to employ a MUS enumeration algorithm, which often does not scale for the cases with a reasonably large number of MUSes. Motivated by the success of hashing-based techniques in the context of model counting, we design the first approximate counting procedure with (epsilon,delta) guarantees, called AMUSIC. Our approach avoids exhaustive MUS enumeration by combining the classical technique of universal hashing with advances in QBF solvers along with a novel usage of union and intersection of MUSes to achieve runtime efficiency. Our prototype implementation of AMUSIC is shown to scale to instances that were clearly beyond the reach of enumeration-based approaches.
Návaznosti
MUNI/A/1050/2019, interní kód MU |
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MUNI/A/1076/2019, interní kód MU |
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